Answer the questions below by drawing on the coordinate plane.

Coordinates of the given triangle:

P (1,-1)

Q (3,-2)

R (3,-4)

A) we need to apply transformation "180 degree about the origin".

If we have (x,y) coordinates of the given triangle.

On rotating 180 degrees about origin, we get (-x,-y) coordinates of the transformed triangle.

Therefore, we can apply rule (x,y) --> (-x,-y) for a part.

By applying above rule, we get new coordinates of the transformed triangle:

P (1,-1) ---> P'(-1,1)

Q (3,-2) ---> Q'(-3,2)

R (3,-4) ---> R'(-3,4)

Now, we can plot those coordinates on the graph.

B) we need to reflect Triangle P'Q'R' across x-axis.

If we have (h,k) coordinates of the P'Q'R' triangle.

On reflecting Triangle P'Q'R' across x-axis, only y coordinates would get multiply by -1 and we get (h,-k) coordinates of the reflected triangle.

Therefore, we can apply rule (h,k) --> (h,-y) for b part.

By applying above rule, we get new coordinates of the transformed triangle:

P'(-1,1) ---> P"(-1,-1)

Q'(-3,2) ---> Q"(-3,-2)

R'(-3,4) ---> R"(-3,-4)

Now, we can plot those coordinates on the graph.

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d